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100949341 = 1132933049
BaseRepresentation
bin1100000010001…
…01110101011101
321000221202110111
412001011311131
5201320334331
614003410021
72334024643
oct601056535
9230852414
10100949341
1151a8a809
1229983911
1317bb694c
14d59b193
158ce0db1
hex6045d5d

100949341 has 8 divisors (see below), whose sum is σ = 102223800. Its totient is φ = 99681792.

The previous prime is 100949309. The next prime is 100949351. The reversal of 100949341 is 143949001.

It can be written as a sum of positive squares in 4 ways, for example, as 1368900 + 99580441 = 1170^2 + 9979^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100949341 - 25 = 100949309 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100949351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31585 + ... + 34633.

It is an arithmetic number, because the mean of its divisors is an integer number (12777975).

Almost surely, 2100949341 is an apocalyptic number.

It is an amenable number.

100949341 is a deficient number, since it is larger than the sum of its proper divisors (1274459).

100949341 is a wasteful number, since it uses less digits than its factorization.

100949341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3455.

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 100949341 is about 10047.3549255513. The cubic root of 100949341 is about 465.6230765562.

The spelling of 100949341 in words is "one hundred million, nine hundred forty-nine thousand, three hundred forty-one".

Divisors: 1 113 293 3049 33109 344537 893357 100949341